Question

(2x-y< -7
x-y≥-6 determine if (-10,5) is a solution to system

Answer 1

no

Explanation:

2 · (-10) -5 < -7

-20 - 5 < -7

-25 < -7

ok

-10 -5 ≥ -6

-15 ≥ -6

false

Answer 2

not a solution

Explanation:

to determine if (- 10, 5 ) is a solution to the system of inequalities.

substitute the coordinates of the point into the left side of both inequalities and compare the result to the right side.

Both inequalities must be true for the point to be a solution.

2x - y = 2(- 10) - 5 = - 20 - 5 = - 25 < - 7 ← true

x - y = - 10 - 5 = - 15 < - 6 ← false

since both inequalities are not true then (- 10, 5 ) is not a solution